Details

sample141.0ms

Algorithm

halfpoints

Results

simplify769.0ms

Counts: 1 → 1

prune47.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize183.0ms

Local error

Found 4 expressions with local error:

0.8b	(-.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re)
0.5b	(sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))
0.3b	(sqrt.p16 (.p16 (real->posit16 2.0) (-.p16 (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))) re)))
0.2b	(+.p16 (.p16 re re) (.p16 im im))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

1×	`+-commutative` `sub-neg` `p16-flip--`

Counts

4 → 3

Calls

4 calls:

Slowest

4.0ms	(+.p16 (.p16 re re) (.p16 im im))
2.0ms	(-.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re)
0.0ms	(sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))
0.0ms	(sqrt.p16 (.p16 (real->posit16 2.0) (-.p16 (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))) re)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(-.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re)
0.0ms	(sqrt.p16 (.p16 (real->posit16 2.0) (-.p16 (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))) re)))
0.0ms	(sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))
0.0ms	(+.p16 (.p16 re re) (.p16 im im))

simplify477.0ms

Counts: 7 → 7

prune186.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.7b

localize247.0ms

Local error

Found 4 expressions with local error:

0.9b	(+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re)
0.8b	(/.p16 (.p16 im im) (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))) re))
0.5b	(sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))
0.3b	(sqrt.p16 (.p16 (real->posit16 2.0) (/.p16 (.p16 im im) (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

1×	`+-commutative` `associate-/l*`

Counts

4 → 2

Calls

4 calls:

Slowest

16.0ms	(+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re)
9.0ms	(/.p16 (.p16 im im) (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))) re))
0.0ms	(sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))
0.0ms	(sqrt.p16 (.p16 (real->posit16 2.0) (/.p16 (.p16 im im) (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re)
0.0ms	(/.p16 (.p16 im im) (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))) re))
0.0ms	(sqrt.p16 (.p16 (real->posit16 2.0) (/.p16 (.p16 im im) (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re))))
0.0ms	(sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))

simplify86.0ms

Counts: 6 → 6

prune140.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.6b

localize332.0ms

Local error

Found 4 expressions with local error:

0.9b	(+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re)
0.5b	(sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))
0.5b	(/.p16 (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re) im)
0.3b	(sqrt.p16 (.p16 (real->posit16 2.0) (/.p16 im (/.p16 (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))) re) im))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

1×	`+-commutative`

Counts

4 → 1

Calls

4 calls:

Slowest

7.0ms	(/.p16 (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re) im)
5.0ms	(+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re)
0.0ms	(sqrt.p16 (.p16 (real->posit16 2.0) (/.p16 im (/.p16 (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))) re) im))))
0.0ms	(sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(sqrt.p16 (.p16 (real->posit16 2.0) (/.p16 im (/.p16 (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (*.p16 im im))) re) im))))
0.0ms	(+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re)
0.0ms	(/.p16 (+.p16 (sqrt.p16 (+.p16 (.p16 re re) (.p16 im im))) re) im)
0.0ms	(sqrt.p16 (+.p16 (.p16 re re) (.p16 im im)))

simplify9.0ms

Counts: 5 → 5

prune166.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.6b

regimes284.0ms

Accuracy

-∞% (-62.0b remaining)

Error of 2.0b against oracle of 64.0b and baseline of 64.0b

bsearch4.0ms

end0.0ms

sample3.2s

Algorithm

halfpoints

Results